Valerio, Luca, De centro gravitatis solidorum, 1604

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              <s>
                <pb xlink:href="043/01/046.jpg" pagenum="38"/>
              dupla igitur RG, eſt ipſius GL. </s>
              <s>Et quoniam in triangu­
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              lo AGC, recta GD, ſecat AC, bifariam in puncto D;
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              ipſi AC, parallelam KH, bifariam ſecabit in puncto L,
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              duorum igitur æqualium parallelogrammorum AF, EG;
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              ſimul, quorum centra grauitatis ſunt K, H, centrum gra­
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              uitatis erit L. </s>
              <s>Sed duo parallelogramma AF, EC, ſi­
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              mul ſunt paralle­
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              logrammi BD, du
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              plum; trium igitur
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              parallelogrammo­
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              rum AF, EC,
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              BD, ſimul: hoc
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              eſt
                <expan abbr="triãguli">trianguli</expan>
              ABC,
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              vnà cum duobus
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              trium
                <expan abbr="triangulorũ">triangulorum</expan>
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              inter ſe congruen­
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              tium EDF, cen­
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              trum grauitatis e­
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              rit G. </s>
              <s>Sed triangu
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              li ABC, ponitur
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                <figure id="id.043.01.046.1.jpg" xlink:href="043/01/046/1.jpg" number="27"/>
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              centrum grauitatis N; producta igitur NG, occurret
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              centro M, reliquæ partis, ideſt duorum triangulorum DEF;
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              quare vt triangulum ABC, ad duo triangula DEF, ſi­
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              mul, ita erit MG, ad GN. </s>
              <s>Sed triangulum ABC, eſt
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              duplum duorum triangulorum EDF: igitur & MG, erit
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              ipſius GN, dupla. </s>
              <s>Rurſus quoniam vtriuslibet duorum
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              triangulorum EDF, centrum grauitatis erat M; erit ſi­
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              militer poſitum M, in triangulo EDF, ac centrum N, in
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              triangulo ABC, propter ſimilitudinem triangulorum:
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              Sed propter hæc ſimiliter poſita centra, quia homologo­
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              rum laterum eſt vt AB, ad DF, ita NG, ad GM: &
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              AB, eſt dupla ipſius EB, erit & NG, dupla ipſius GM.
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              </s>
              <s>Sed GM, erat dupla ipſius GN: igitur GN, erit ſui ipſius
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              quadrupla. </s>
              <s>Quod eſt abſurdum. </s>
              <s>Non igitur centrum </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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